$\left(\varphi_1, \varphi_2\right)-$Variational principle
Functional Analysis
2016-10-20 v1
Abstract
In this paper we prove that if is a Banach space, then for every lower semi-continuous bounded below function there exists a convex function with arbitrarily small norm, such that attains its strong minimum on This result extends some of the well-known varitional principles as that of Ekeland [18], that of Borwein-Preiss [6] and that of Deville-Godefroy-Zizler [14, 15].
Cite
@article{arxiv.1610.05915,
title = {$\left(\varphi_1, \varphi_2\right)-$Variational principle},
author = {Abdelhakim Maaden and Abdelkader Stouti},
journal= {arXiv preprint arXiv:1610.05915},
year = {2016}
}